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Simplifying 3(v + -8) + -7v = 12 Reorder the terms: 3(-8 + v) + -7v = 12 (-8 * 3 + v * 3) + -7v = 12 (-24 + 3v) + -7v = 12 Combine like terms: 3v + -7v = -4v -24 + -4v = 12 Solving -24 + -4v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4v = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -4v = 12 + 24 -4v = 12 + 24 Combine like terms: 12 + 24 = 36 -4v = 36 Divide each side by '-4'. v = -9 Simplifying v = -9
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